12 men can complete a work in ten days. 20 women can complete the same work in twelve days. 8 men and 4 women started working and after nine days 10 more women joined them. How many days will they now take to complete the remaining work?
Explanation:
Let one man complete the piece of work in m days and let one woman complete the piece of work in n days.
∴ 12m = 110 and 20w = 112
∴ 1m = 1120 and 1w = 1240
Let n be the number of days after 9 days that the work takes to get over.
∴ 98m+4w + n8m+4w+10w = 1
∴ 9115+160 + n115+160+124 = 1
∴ 34 + 15n120 = 1
∴ n = 2
Hence, option (a).
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